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Finding the Fourth Proportional to 32,085.41, 48,123.25 and 12,361.10

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Solution

The fourth proportional to 32,085.41, 48,123.25 and 12,361.10 is: 18,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,085.41 : 48,123.25 = 12,361.10 : x
  2. Step 2: Convert to fraction form
    32,085.41/48,123.25 = 12,361.10/x
  3. Step 3: Cross multiply
    32,085.41x = 48,123.25 × 12,361.10
  4. Step 4: Simplify right side
    32,085.41x = 594,856,034.06
  5. Step 5: Solve for x
    x = 594,856,034.06/32,085.41
  6. Step 6: Final answer
    x = 18,539.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.